Question
A train started from station P and preceded towards
station Q at a speed of 64 km/h. 45 minutes later, another train started from station Q and preceded towards station P at 100 km/h. If the distance between the two stations is 376 km, at what distance from station P will the trains meet?Solution
Let the train will meet βtβ hours after the train from station Q started Distance travelled by train started from station P = 64 x 45/60 km Distance travelled by train started from station Q = (64 + 100) x t km Total distance between station P and Q = 376 km Now, 64 x (45/60) + (64 + 100) x t = 376 β 48 + 164t = 376 β 164t = 376 β 48 = 328 β t = 328/164 = 2 hours Distance travelled by train starting from station P at all meeting point = 48 + 64 x 2 = 176 km
The sides of a triangle are 9 cm, 12 cm, and 15 cm. What is the area of the largest circle that can be inscribed in this triangle?Β
Which of the following can create the largest printouts:
The ratio of two numbers is 4:8 and their LCM is 64. The numbers are:
In a circle, two chords AB and CD intersect inside the circle at P. If AP = 4 cm, PB = 6 cm, CP = 5 cm, and PD = x cm, what is the value of x?
If the sum of remainders, obtained on dividing 52436 by 22 and 59461 by 73, is divided by 13, then the remainder will be:
Which of the following functions is not one-one?
A man travels 60 km at a speed of 30 km/h and then travels 90 km at a speed of 60 km/h. What is his average speed for the entire journey?
(76.98% of 599.98) Γ· 20.99 = ? + 7.98% of 199.99
A giant circular wheel has a diameter of 63 metres. In how many revolutions will the wheel cover a total of 79.2 km?
A sum of money doubles itself in 5 years at simple interest. In how many years will it become 5 times itself at the same rate of interest?